1102101120001 has 16 divisors (see below), whose sum is σ = 1276006330368. Its totient is φ = 932334440400.

The previous prime is 1102101119993. The next prime is 1102101120007. The reversal of 1102101120001 is 1000211012011.

It is a cyclic number.

It is not a de Polignac number, because 1102101120001 - 2³ = 1102101119993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1102101120001.

It is not an unprimeable number, because it can be changed into a prime (1102101120007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381295 + ... + 1532836.

It is an arithmetic number, because the mean of its divisors is an integer number (79750395648).

Almost surely, 2^{1102101120001} is an apocalyptic number.

It is an amenable number.

1102101120001 is a deficient number, since it is larger than the sum of its proper divisors (173905210367).

1102101120001 is an equidigital number, since it uses as much as digits as its factorization.

1102101120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915212.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1102101120001 its reverse (1000211012011), we get a palindrome (2102312132012).

The spelling of 1102101120001 in words is "one trillion, one hundred two billion, one hundred one million, one hundred twenty thousand, one".